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Finding the Third Proportional to 24,824 and 36,746

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Solution

The third proportional to 24,824 and 36,746 is: 54,393.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,824 : 36,746 = 36,746 : x
  2. Step 2: Convert to fraction form
    24,824/36,746 = 36,746/x
  3. Step 3: Cross multiply
    24,824x = 36,746 × 36,746
  4. Step 4: Simplify right side
    24,824x = 1,350,268,516
  5. Step 5: Solve for x
    x = 1,350,268,516/24,824
  6. Step 6: Final answer
    x = 54,393.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.